7. If y varies directly w³, and y = 25 when w = 5, find the value of y when w = 2.
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Answer:
8/5
Step-by-step explanation:
If y varies directly w³, and y = 25 when w = 5, find the value of y when w = 2.
Given:
- y=kw³, where k is coefficient
When w=5
- y= k*5³= 125k and y=25
- 125k=25
- k=25/125= 1/5
As the value of k is known, we have new equation:
- y= w³ / 5
For w=2 we have
- y= 2³/5= 8/5
Answer: 8/5
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